SSC JE Civil Engineering 23-Mar-2021 Shift 2 Paper

The specific gravity of solids = 3
The mass-specific gravity = 2
The dry density of soil $\left({\mathrm{\gamma }}_{\mathrm{d}}\right)$ is given by
${\mathrm{\gamma }}_{\mathit{d}}=\frac{\left(\mathrm{G}\right)\times {\mathrm{\gamma }}_{\mathrm{w}}}{1+\mathit{e}}$
$\Rightarrow \frac{{\mathrm{\gamma }}_{\mathit{d}}}{{\mathrm{\gamma }}_{\mathrm{w}}}=\frac{\mathrm{G}}{1+\mathit{e}}$
$\Rightarrow {\mathrm{G}}_{\mathrm{m}}=\frac{\mathrm{G}}{1+\mathit{e}}$
Where ${\mathrm{G}}_{\mathrm{m}}=$ Mass specific gravity
$\Rightarrow 2=\frac{3}{1+\mathit{e}}$
$\Rightarrow 1+\mathit{e}=1.5$
$\Rightarrow \mathit{e}=0.5$
The void ratio is 0.5